# Electromagnetics

**Year**

2

**Academic year**

2022-2023

**Code**

01003087

**Subject Area**

Physics

**Language of Instruction**

Portuguese

**Mode of Delivery**

Face-to-face

**Duration**

SEMESTRIAL

**ECTS Credits**

6.0

**Type**

Compulsory

**Level**

1st Cycle Studies

## Recommended Prerequisites

Mathematical Analysis I, II, III

Mechanics and Waves.

## Teaching Methods

1-Theory classes in the black-board with occasional use of multimedia; 2-Problem-solving classes with discussion of typical examples; 3-Laboratory and experimental demonstration classes in the course of the problem-solving classes; 4-Elaboration of support notes including the entire syllabus and solution and discussion of 100 problems; 5-The problems and situations under analysis in the classes will based, as much as possible, in applications of ECE, in order to motivate the students; 6-Three tests are to be answered within the semester; 7-The students write reports on laboratory classes.

## Learning Outcomes

Acquire basic concepts and fundamental physical principles and master them in cases of interest for Electrotechnical and Computer Engineering.

Develop analysis and synthesis capabilities, in an objective and critical sense.

Acquire basic knowledge about the electromagnetic field, as well as the Maxwell equations in both integral and differential forms.

Acquire correct analysis of both static and dynamic cases, in particular the calculation of fields and potentials and the critical analysis of the results through asymptotic limits.

Essential properties of electromagnetic waves.

Interpretation of the physical electromagnetic phenomena underlying the applications in Electrotechnical and Computer Engineering.

Develop experimental competences, in particular observation, analysis and interpretation of data.

Develop the ability to put into practice theoretical knowledge.

## Work Placement(s)

No## Syllabus

1.Introduction: coordinate systems and differential operators.

2. Electrostatics: electrostatic field and potential; local and integral equations; electrostatic energy; electric dipole.

3. Electric fields in matter: conductors and dielectrics.

4. Magnetostatics: magnetic field and vector potential; integral and local equations; dipolar magnetic moment.

5. Magnetic fields in matter: diamagnetism, paramagnetism and ferromagnetism; superconductors.

6. Electrodynamics: Faraday's law; Maxwell displacement current; Maxwell equations in vacuum and in matter.

7. Electromagnetic waves: Poynting's theorem; electromagnetic waves in vacuum and in conductive and insulating media.

8. Applications of Maxwell equations: transmission lines; waveguides; radiative electric dipole.

9. Experimental part:

-Experimental study of equipotential lines and electrostatic field lines.

-Experimental study of the interaction between two magnetic dipoles, F ~1/r^4

- Study of the hysteresiscycle of a ferromagnet.

## Head Lecturer(s)

Rui César do Espírito Santo Vilão

## Assessment Methods

Continuous assessment

*Laboratory work or Field work: 25.0%*

*Frequency: 75.0%*

Final assessment

*Laboratory work or Field work: 25.0%*

*Exam: 75.0%*

## Bibliography

J. Pinto da Cunha, Electromagnetismo, Universidade de Coimbra, 2016.

R. C. Vilão, Electromagnetismo (apontamentos de apoio à disciplina), Coimbra, 2010.

M. Sadiku, Elementos de Electromagnetismo, 3ª ed. Bookman, 2004.

D. J. Griffiths, Introduction to Electrodynamics.

J. Villate, Electromagnetismo, McGraw-Hill, 1999.

L. Brito, M. Fiolhais, C. Providência, Campo Electromagnético. McGraw-Hill, 1999.

J. D. Jackson, Classical Electrodynamics. John Wiley& Sons, 1999.